数学季刊 >

2020 , Vol. 35 >Issue 2: 214 - 220

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2020.02.009

求解箱式约束全局优化问题的新的F-C函数

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  • School of Mathematics and Statistics,Henan University of Science and Technology
ZHAN Yue (1995-), female, native of Zhumadian, Henan, a postgraduate student of Henan University of Science and Technology, engages in operations research and cybernetics; SHANG You-lin (1963-), corresponding author, male, native of Luoyang, Henan, a professor of Henan University of Science and Technology, engages in operations research and cybernetics and systems science and engineering; QU De-qiang (1996-), male, native of Nanyang, Henan, a postgraduate student of Henan University of Science and Technology, engages in operations research and cybernetics.

收稿日期: 2019-10-31

  网络出版日期: 2020-11-10

基金资助

Supported by National Natural Science Foundation of China (No.11471102)； Basic research projects for key scientific research projects in Henan Province (No.20ZX001)；

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A New F-C Function for Box Constrained Global Optimization

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  • School of Mathematics and Statistics,Henan University of Science and Technology
ZHAN Yue (1995-), female, native of Zhumadian, Henan, a postgraduate student of Henan University of Science and Technology, engages in operations research and cybernetics; SHANG You-lin (1963-), corresponding author, male, native of Luoyang, Henan, a professor of Henan University of Science and Technology, engages in operations research and cybernetics and systems science and engineering; QU De-qiang (1996-), male, native of Nanyang, Henan, a postgraduate student of Henan University of Science and Technology, engages in operations research and cybernetics.

Received date: 2019-10-31

  Online published: 2020-11-10

Supported by

Supported by National Natural Science Foundation of China (No.11471102)； Basic research projects for key scientific research projects in Henan Province (No.20ZX001)；

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摘要

To solve the global optimization problems which have several local minimizers,a new F-C function is proposes by combining a filled function and a cross function. The properties of the F-C function are discussed and the corresponding algorithm is given in this paper. F-C function has the same local minimizers with the objective function.Therefore, the F-C function method only needs to minimize the objective function once in the first iteration. Numerical experiments are performed and the results show that the proposed method is very effective. 

关键词： Global optimization; Filled function; F-C function; Local minimizer

本文引用格式

詹悦, 尚有林, 屈德强 . 求解箱式约束全局优化问题的新的F-C函数[J]. 数学季刊, 2020 , 35(2) : 214 -220 . DOI: 10.13371/j.cnki.chin.q.j.m.2020.02.009

Abstract

To solve the global optimization problems which have several local minimizers,a new F-C function is proposes by combining a filled function and a cross function. The properties of the F-C function are discussed and the corresponding algorithm is given in this paper. F-C function has the same local minimizers with the objective function.Therefore, the F-C function method only needs to minimize the objective function once in the first iteration. Numerical experiments are performed and the results show that the proposed method is very effective. 

Key words： Global optimization; Filled function; F-C function; Local minimizer

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